List of top Questions asked in CUET (PG)- 2023

A is the son of B. C, B's sister, has a son D and a daughter E. F is the maternal uncle of D.
(A) A is the cousin of D
(B) E is the niece of F
(C) F has 2 Nephews
(D) C is the mother of E
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: The vector equation of line passing through two points with position vector \(\vec{a}\) and \(\vec{b}\) is \(\vec{r} = \vec{a} +\lambda(\vec{b}+\vec{a})\)
Statement II: The vector equation of a straight line passing through a fixed point with position vector \(\vec{a}\) and parallel to a given vector \(\vec{b}\) is \(\vec{r}=\vec{a}+λ\vec{b}\) where λ is scalar.
In the light of the above Statements, choose the most appropriate answer from the options given below :

Given below are two statements:
Statement I: The sum of the series 2{7^-1+3^-17^-3 +5^-1.7^-5 +....} is log_e(\(\frac{4}{3}\)).
Statement II: The value of e always lies between 2 and 3.
In the light of the above Statements, choose the most appropriate answer from the options given below :

Given below are two statements:
Statement I: Let \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) be three vectors. Then the scalar \((\vec{a}\times\vec{b})·\vec{c}\) is called the scalar product of \(\vec{a},\vec{b},\vec{c}\) and is denoted by \([\vec{a}\vec{b}\vec{c}]=\vec{a}·(\vec{b}\times\vec{c})\).
Statement II: \(\vec{a}\times\vec{b}\) is vector which is ⊥ to \(\vec{a}\) and \(\vec{b}\) both.
In the light of the above Statements, choose the most appropriate answer from the options given below :

A beam is supported at its ends by supporters which are 12 meters apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm?

The international Court of Justice was established in the year

Function f(x)=(x+1)^cotx is continuous at x = 0, then the value of f(0) is

If 2u=5x, is the relation between two variables u and x, and harmonic means of x is 0.8, find the harmonic mean of u.

The area of region bounded by the curve y²=x, the y-axis and between y = 2 and y = 4 is

Find a single discount equivalent to successive discounts of 10%, 20% and 25%

In a memory mapped I/O system, which of the following will not be there?

Which of the following binary numbers are divisible by 4?
(A) 10101010101010
(B) 1110001110001
(C) 11001010100
(D) 1111000011
(E) 10010 1100

If α and β are the roots of a quadratic equation x²+αx + β=0 where β≠0, then what is the value of α + β?

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Gray code easy to use in counter.
Reasons (R): Counter is a register, which is made of flip flops.
In the light of the above Statements, choose the most appropriate answer from the options given below :

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Marathas emerged as the strongest native power in India after the decline of Mughal
Reasons (R): Maratha were the first to have a clear concept of United Nation.
In the light of the above statements, choose the most appropriate answer from the options given below

If log₃2,log₃(2^x-5) and log₃(2^x-7/2) are in A.P., then x is equal to

A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it, the tower is found to be subtend an angle twice as before. Find the height of the tower?

The number of vectors of unit length perpendicular to vectors \(\vec{a}\) = (1,1,0) and \(\vec{b}\) = (0,1,1) is

The area of the region bounded by the curve x²=4y and the straight line x = 4y - 2 is

The equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0

Choose the group of letters which is different from others:
POCG, BUDX, ATRG, ZIKL, FQMV

Given below are two statements:
Statement I: If (12P)₃ = (123)_p, then the value of p is 8.
Statement II: In 16-bit 2's complement representation, the decimal number -28 is 11111 111111100100.
In the light of the above Statements, choose the most appropriate answer from the options given below :

National Development Council was constituted on____.

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

Match List-I and List-II

LIST I		LIST II
A.	Dynamic RAM	I.	Know as non-volatile memory and can be programmed
B.	PROM	II.	non-volatile and Random access digital Data storage device
C.	HDD	III.	is made up of memory cells where each cell is composed of one capacitor and one transistor
D.	Static Ram	IV.	It remains the data as long as power is provided to the memory chip.

Choose the correct answer from the options given below: